Question

Solve the equation. $$5 m-(4 m-1)=-12$$

Short answer

The solution for the equation is \(m = -16\).

Step-by-step solution

Simplify the Equation

Begin by simplifying the equation, specifically the term within brackets can be distributed. The equation can be rewritten by multiplying the `-4` by both `m` and `-1`. So, the equation simplifies to \(5m - 4m + 4 = -12\)

Combine like terms

Next, combine the terms with the same variables. `5m` and `-4m` are like terms and can be combined to become `m`. This simplifies the equation to \(m + 4 = -12\)

Solve the equation for m

Finally, solve for `m` by subtracting `4` on both sides of the equation. This gives \(m = -12 - 4\)